Question

Triangle ABC is dilated to create triangle A'B'C' using point O as the center of dilation. What is the scale factor of the dilation? One-third 3 4 One-fourth

Answer 1

Answer:

The scale factor is 4

Step-by-step explanation:

This question requires an attachment; I'll answer this question using the attached figure

From the attachment

Length OA = 3 units

Length OA' = 3 units + 9 units

Length OA' = 12 units

Scale Factor is calculated as follows;

$Scale\ Factor = \frac{New\ Side}{Original\ Side}$

Given that the original shape is ABC, the original side will be OA

Hence, Original Side = 3 units

New Side = OA' = 12 units

The formula becomes

$Scale\ Factor = \frac{12\ units}{3\ units}$

$Scale\ Factor = 4$

Hence, the scale factor is 4